Predicting Flow Dynamics using Diffusion Models

TL;DR

This paper replicates and extends the DiffFluid diffusion model for fluid dynamics prediction, demonstrating its flexibility and potential as a general-purpose solver across different simulation methods.

Contribution

It validates the DiffFluid approach and explores its applicability to other fluid simulation types like the Lattice Boltzmann method.

Findings

DiffFluid effectively predicts fluid flow in multiple simulation contexts.

The model shows promise but faces computational challenges.

Potential for scaling diffusion models in fluid dynamics applications.

Abstract

In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising diffusion probabilistic model (DDPM) framework to tackle Navier-Stokes and Darcy flow equations. Our goal was to validate the reproducibility of the methods in the DiffFluid paper while testing its viability for other simulation types, particularly the Lattice Boltzmann method. Despite our computational limitations and time constraints, this work provides evidence of the flexibility and potential of the model as a general-purpose solver for fluid dynamics. Our results show both the potential and challenges of applying diffusion models to complex fluid dynamics problems. This work highlights the opportunities for future research in optimizing the computational efficiency and scaling such models in broader domains.